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For the following function graphs, determine approximate intervals of increasing, decreasing, concave up, concave down, and inflection points. Also find the zeros of the function.
For the following function graphs, determine approximate intervals of increasing, decreasing, concave up, concave down, and inflection points. Also find the zeros of the function. incr: decr: incr concave up: decr: concave down: concave up: Inflection pt: concave down: Inflection pt: None a. Zeros: Zeros: incr: incr: decr: decr: concave up: concave up: concave down: concave down: Inflection pt: Inflection pt: Zeros: Zeros: 6. You are given a function and an x-interval to view it. Determine intervals of increasing, decreasing, concave up and down, inflection points (approx. ) as well as the zeros of the function. a. y = 4x [-5, 5 ] b. y = 1-x3 [-5, 5 ] C. y= 25x-x3 [-6, 6] incr: incr: ncr: decr: decr: decr: concave up: concave up: concave up: concave down: concave down: concave down: Inflection pt: Inflection pt: Inflection pt: Zeros: Zeros: Zeros : f. y=* +8 d. y = -2 X 2 - [-5, 5] e. V = [-5, 5 ] x 2 + 1 [ - 3, 3 ] incr: incr: incr: decr: decr: decr: concave up: concave up: concave up: concave down: concave down: concave down: Inflection pt: Inflection pt: Inflection pt: Zeros: Zeros: Zeros: Unit 1 p. 8Example 5) For the following finchon gregits. up, chrome down, and infection punt. Also find fre zens of the fimutin. concave un concave down concave Gru Inflection pt infection pt Zens Zeros concave up concave un concave downc concave downs Inflection pt Inflection pt C Zeros: Zeros Using Graphing Utilities: This manual is set up assuming students are using TI-84's to graph functions. Any graphing utility will work. On the TI-84, a useful setting is to input the function, pressing Window to set xMin and xMax. Then pressing Zoom 0: Fit |will choose corresponding yMin and y Max to show all of the curve's important behavior. Example 6) You are given a function and an x-interval to view it. Determine intervals of strictly increasing. strictly decreasing, concave up and down, inflection points (approx.) as well as the were; of the function. a) y=2" -4[-5,5] b) y= 15+2x-x3 [-5,5] c) =x -4xx -3,3] incr. incr. incr. dect. decr. decr: concave up: concave up: concave up: concave down: concave down: concave down: Inflection pt: Inflection pt: Inflection pt: Zeros: Zeros: Zeros: d) y=2x -7x2 -17x+10 [-5,5] e) y=5/x [-10,10] () y= (4-x7)/(x2+9) [-8,8] incr: incr: incr. decr: decr: decr: concave up: concave up: concave up: concave down: concave down: concave down: Inflection pt: Inflection pt: Inflection pt: Zeros: Zeros: Zeros
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